87389807232000 has 2816 divisors, whose sum is σ = 381639119726592. Its totient is φ = 17224748236800.

The previous prime is 87389807231999. The next prime is 87389807232031. The reversal of 87389807232000 is 23270898378.

It is a happy number.

It is a super-2 number, since 2×87389807232000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 93265535532 + ... + 93265536468.

Almost surely, 2^{87389807232000} is an apocalyptic number.

87389807232000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87389807232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190819559863296).

87389807232000 is an abundant number, since it is smaller than the sum of its proper divisors (294249312494592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87389807232000 is a wasteful number, since it uses less digits than its factorization.

87389807232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 87389807232000 in words is "eighty-seven trillion, three hundred eighty-nine billion, eight hundred seven million, two hundred thirty-two thousand".